English

A subquadratic algorithm for computing the n-th Bernoulli number

Number Theory 2013-05-02 v3 Data Structures and Algorithms Numerical Analysis

Abstract

We describe a new algorithm that computes the n-th Bernoulli number in n^(4/3 + o(1)) bit operations. This improves on previous algorithms that had complexity n^(2 + o(1)).

Keywords

Cite

@article{arxiv.1209.0533,
  title  = {A subquadratic algorithm for computing the n-th Bernoulli number},
  author = {David Harvey},
  journal= {arXiv preprint arXiv:1209.0533},
  year   = {2013}
}

Comments

few minor changes, to appear in Mathematics of Computation

R2 v1 2026-06-21T21:59:19.015Z